# Ordering Decimals Calculator: Ascending and Descending, and Shows Work This calculator will arrange a list of decimal numbers in both ascending and descending order.

Plus, the calculated results include a step-by-step tutorial showing how to order decimals from least to greatest and greatest to least without a calculator.

If you would like to order fractions, please visit the Ordering Fractions Calculator.

## Ordering Decimals Calculator

Order decimals in ascending and descending order.

Special Instructions

#### Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Enter decimals, separated by commas

#### Decimal list:

Enter each decimal in your list, each separated by a comma. If entering a negative decimal, prepend a minus sign to the decimal (e.g., for negative 5.3, enter as -5.3).

# decimals:# of decimals:Number of decimals:Number of decimals:

#### Number of decimals:

This is the number of different decimals detected by the calculator.

Decimals least to greatest:

#### Decimals in ascending order:

This field shows the entered set of decimals ordered from least to greatest (ascending order).

Decimals greatest to least:

#### Decimals in descending order:

This field shows the entered set of decimals ordered from greatest to least (descending order).

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

## Learn

### How to order decimals manually.

#### How to Arrange Decimal Numbers in Ascending Order

To manually arrange decimals in order from least to greatest, below shows how I would sort the following sample set.

0.15, 2.63, 0.008, 5, 4.27, 1.83, 3.13, 3.05, 4.0192

Step #1: Place the decimals in a grid with the decimal points all lined up in the same column, and add zeros to decimals as needed so that all decimals have the same number of places (in this case, 4 places).

Decimal Grid
0.1500
2.6300
0.0080
5.0000
4.2700
1.8300
3.1300
3.0500
4.0192

Step #2: Convert each decimal to an integer by dropping the decimal point and any leading zeros, and then list each result in a new sort column. This is just a shortcut to multiplying each decimal by the denominator of the right-most decimal place (in this case, the 1/10000 place).

Decimal GridSort
0.1500=>1500
2.6300=>26300
0.0080=>80
5.0000=>50000
4.2700=>42700
1.8300=>18300
3.1300=>31300
3.0500=>30500
4.0192=>40192

Step #3: Reorder the rows based on the sort column from least to greatest, like this:

Decimal GridSort
0.0080=>80
0.1500=>1500
1.8300=>18300
2.6300=>26300
3.0500=>30500
3.1300=>31300
4.0192=>40192
4.2700=>42700
5.0000=>50000

If you ignore the added zeros in the table above, the orginal decimals listed in ascending order would be as follows:

 1 0.008 2 0.15 3 1.83 4 2.63 5 3.05 6 3.13 7 4.0192 8 4.27 9 5

#### How to Arrange Decimal Numbers in Descending Order

To manually arrange decimals in order from greatest to least, perform the same steps to create the sort column as you did for ascending order, but this time reorder the rows based on the sort column from greatest to least.

Decimal GridSort
5.0000=>50000
4.2700=>42700
4.0192=>40192
3.1300=>31300
3.0500=>30500
2.6300=>26300
1.8300=>18300
0.1500=>1500
0.0080=>80

If you ignore the added zeros in the table above, the orginal decimals listed in descending order would be as follows:

 1 5 2 4.27 3 4.0192 4 3.13 5 3.05 6 2.63 7 1.83 8 0.15 9 0.008

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".